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This paper discusses how the University of California at Santa Barbara on-line system can be used in the teaching of complex variables. This system, a descendant of the Culer-Fried system, with its speed and versatility gives the teacher as well as the student a rapid means of solution and visualization of answers. Several examples with figures are presented that demonstrate the role and effectiveness of this system as a teaching tool. Sample student laboratory exercises and report questions are given along with a few computer programs.